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Finding the Fourth Proportional to 563.87, 849.57 and 509.09

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Solution

The fourth proportional to 563.87, 849.57 and 509.09 is: 767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 849.57 = 509.09 : x
  2. Step 2: Convert to fraction form
    563.87/849.57 = 509.09/x
  3. Step 3: Cross multiply
    563.87x = 849.57 × 509.09
  4. Step 4: Simplify right side
    563.87x = 432,508.92
  5. Step 5: Solve for x
    x = 432,508.92/563.87
  6. Step 6: Final answer
    x = 767.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.